Solve 63/4+31/2+25/6

$$6 \frac { 3 } { 4 } + 3 \frac { 1 } { 2 } + 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{157}{12}\approx 13.083333333$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+3}{4}+\frac{3\times 2+1}{2}+\frac{2\times 6+5}{6}$$

Add 24 and 3 to get 27.

$$\frac{27}{4}+\frac{3\times 2+1}{2}+\frac{2\times 6+5}{6}$$

Multiply 3 and 2 to get 6.

$$\frac{27}{4}+\frac{6+1}{2}+\frac{2\times 6+5}{6}$$

Add 6 and 1 to get 7.

$$\frac{27}{4}+\frac{7}{2}+\frac{2\times 6+5}{6}$$

Least common multiple of 4 and 2 is 4. Convert \frac{27}{4} and \frac{7}{2} to fractions with denominator 4.

$$\frac{27}{4}+\frac{14}{4}+\frac{2\times 6+5}{6}$$

Since \frac{27}{4} and \frac{14}{4} have the same denominator, add them by adding their numerators.

$$\frac{27+14}{4}+\frac{2\times 6+5}{6}$$

Add 27 and 14 to get 41.

$$\frac{41}{4}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{41}{4}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{41}{4}+\frac{17}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{41}{4} and \frac{17}{6} to fractions with denominator 12.

$$\frac{123}{12}+\frac{34}{12}$$

Since \frac{123}{12} and \frac{34}{12} have the same denominator, add them by adding their numerators.

$$\frac{123+34}{12}$$

Add 123 and 34 to get 157.

$$\frac{157}{12}$$

Factor

$$\frac{157}{2 ^ {2} \cdot 3} = 13\frac{1}{12} = 13.083333333333334$$